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dc.contributor.authorNesliturk, AI
dc.date.accessioned2021-02-12T18:52:41Z
dc.date.available2021-02-12T18:52:41Z
dc.date.issued2005
dc.identifier.issn0252-9602
dc.identifier.issn1572-9087
dc.identifier.urihttps://hdl.handle.net/11147/10747
dc.description.abstractThis paper considers the Galerkin finite element method for the incompressible Navier-Stokes equations in two dimensions, where the finite-dimensional spaces employed consist of piecewise polynomials enriched with residual-free bubble (RFB) functions. The stability features of the residual-free bubble functions for the linearized Navier-Stokes equations are analyzed in this work. It is shown that the enrichment of the velocity space by bubble functions stabilizes the numerical method for any value of the viscosity parameter for triangular elements and for values of the viscosity parameter in the vanishing limit case for quadrilateral elements.en_US
dc.language.isoengen_US
dc.publisherELSEVIER SCIENCE INCen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGalerkin finite element methoden_US
dc.subjectincompressible Navier-Stokes equationsen_US
dc.subjectstabilityen_US
dc.titleOn the stability of the residual-free bubbles for the Navier-Stokes equationsen_US
dc.typearticleen_US
dc.typearticleen_US
dc.contributor.institutionauthorNesliturk, AI
dc.relation.journalActa Mathematica Scientiaen_US
dc.contributor.departmentIzmir Isntitute of Technologyen_US
dc.identifier.volume25en_US
dc.identifier.issue4en_US
dc.identifier.startpage715en_US
dc.identifier.endpage730en_US
dc.identifier.wosWOS:000233058300017
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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